Abstract. We present consistent sets of band parameters (including band gaps, crystal-field splittings, effective masses, Luttinger, and E P parameters) for AlN, GaN, InN, and ZnO in the wurtzite phase.For band-energy differences we observe a pronounced nonlinear dependence on strain. Consistent and complete sets of deformation potentials are then derived for realistic strain conditions in the linear regime around the experimental equilibrium volume. To overcome the limitations of density-functional theory (DFT) in the local-density or generalizedgradient approximations (LDA and GGA) we employ the Heyd-Scuseria-Ernzerhof (HSE) hybrid functional as well as exact exchange (OEPx) based quasi-particle energy calculations in the G 0 W 0 approach.